Math Problem Statement
assume that x and y are both differentiable functions of t. find dy/dt when x=5, and dx/dt=6 given the equation x(x)+y=3
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Differentiable Functions
Chain Rule
Formulas
Implicit Differentiation: d/dt(f(x)) = f'(x) * dx/dt
d/dt(x^2 + y = 3) -> 2x * dx/dt + dy/dt = 0
Theorems
Chain Rule in Calculus
Suitable Grade Level
Grades 10-12